Question

An equivalent definition of division rings (in module theory)

score 215 · Answer 1 · 2026-03-25 13:33:22

215

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An equivalent definition of division rings (in module theory)

Published on 25 Mar 2026 - 13:33

score 95 · Answer 2 · 2019-08-16 01:00:35

95

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Proving $\text{Hom}_{R-\text{Mod}}(R^{\oplus A}, R)$ is a product of $A$ copies of $R$

Published on 16 Aug 2019 - 1:00

score 39 · Answer 3 · 2019-08-16 21:05:28

39

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Solving a linear equation in one component of $\Bbb{Z}^3$.

Published on 16 Aug 2019 - 21:05

score 63 · Answer 4 · 2019-08-17 00:53:56

63

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Nonzero module with no nonzero finitely presented submodule

Published on 17 Aug 2019 - 0:53

score 403 · Answer 5 · 2026-03-27 20:22:29

403

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Module over PID is isomorphic to the direct sum of a submodule and the kernel of a module homomorphism

Published on 27 Mar 2026 - 20:22

score 121 · Answer 6 · 2026-03-27 13:19:22

121

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Isomorphism between the groups $\mathbb Z/(a) \times \mathbb Z / (b)$ and $\mathbb Z/(m) \times \mathbb Z / (n) $

Published on 27 Mar 2026 - 13:19

score 240 · Answer 7 · 2026-04-02 00:18:52

240

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The structure of contractible complexes

Published on 02 Apr 2026 - 0:18

score 53 · Answer 8 · 2019-08-19 10:08:47

53

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$2\mathbb{Z}/m\mathbb{Z}=(2)$ modulo $m$

Published on 19 Aug 2019 - 10:08

score 44 · Answer 9 · 2026-03-25 11:13:28

44

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The maps in the $\mathbb Z [\mathbb Z]-$free resolution of $\mathbb Z$

Published on 25 Mar 2026 - 11:13

score 413 · Answer 10 · 2026-03-25 12:50:58

413

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Extension of linearly independent set to a basis of a free module over a quotient of a Dedekind domain

Published on 25 Mar 2026 - 12:50

score 165 · Answer 11 · 2019-08-22 06:57:00

165

Views

Is $\operatorname{Hom} _A(M,N)$ a finitely generated $A$-module?

Published on 22 Aug 2019 - 6:57

score 522 · Answer 12 · 2026-03-25 06:21:43

522

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Proof of the Structure theorem of finitely generated graded modules over graded PID's

Published on 25 Mar 2026 - 6:21

score 138 · Answer 13 · 2026-03-25 18:49:10

138

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For which rings $R$ is $\mathrm{Hom}_R(\mathrm{Frac}(R),R)$ trivial?

Published on 25 Mar 2026 - 18:49

score 358 · Answer 14 · 2026-03-25 14:33:40

358

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Annihilator of a coherent sheaf, on affine subsets.

Published on 25 Mar 2026 - 14:33

score 195 · Answer 15 · 2026-03-25 15:52:38

195

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Construction of tensor algebra: extending the multiplication from being defined on pure tensors

Published on 25 Mar 2026 - 15:52

List Question

An equivalent definition of division rings (in module theory)

Proving $\text{Hom}_{R-\text{Mod}}(R^{\oplus A}, R)$ is a product of $A$ copies of $R$

Solving a linear equation in one component of $\Bbb{Z}^3$.

Nonzero module with no nonzero finitely presented submodule

Module over PID is isomorphic to the direct sum of a submodule and the kernel of a module homomorphism

Isomorphism between the groups $\mathbb Z/(a) \times \mathbb Z / (b)$ and $\mathbb Z/(m) \times \mathbb Z / (n) $

The structure of contractible complexes

$2\mathbb{Z}/m\mathbb{Z}=(2)$ modulo $m$

The maps in the $\mathbb Z [\mathbb Z]-$free resolution of $\mathbb Z$

Extension of linearly independent set to a basis of a free module over a quotient of a Dedekind domain

Is $\operatorname{Hom} _A(M,N)$ a finitely generated $A$-module?

Proof of the Structure theorem of finitely generated graded modules over graded PID's

For which rings $R$ is $\mathrm{Hom}_R(\mathrm{Frac}(R),R)$ trivial?

Annihilator of a coherent sheaf, on affine subsets.

Construction of tensor algebra: extending the multiplication from being defined on pure tensors

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